ar X iv : h ep - t h / 99 02 14 6 v 1 2 2 Fe b 19 99 TOPOLOGICAL ASPECTS IN U ( 1 ) GAUGE THEORY
نویسنده
چکیده
We discuss the topological properties of a two-dimensional free Abelian gauge theory in the framework of BRST cohomology. We derive the conserved and nilpotent BRST and co-BRST charges and express the Hodge decomposition theorem in terms of these charges and the Laplacian operator. It is because of the topological nature of the free U(1) gauge theory that the Laplacian operator goes to zero when equations of motion are exploited. We derive two sets of topological invariants of this theory which are related to each-other by a certain kind of duality transformation.
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تاریخ انتشار 1999